What is factor x^4-15x^2y^2-16y^4 ?

The solution to factor x^4-15x^2y^2-16y^4 is (x^2+y^2)(x+4y)(x-4y)

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factor x^4-15x^2y^2-16y^4

factor

x^{4} - 15 x^{2} y^{2} - 16 y^{4}

(x^{2} + y^{2}) (x + 4 y) (x - 4 y)

Solution steps

x^{4} - 15 x^{2} y^{2} - 16 y^{4}

Break the expression into groups

= (x^{4} + x^{2} y^{2}) + (- 16 x^{2} y^{2} - 16 y^{4})

Factor out

x^{2}

from

x^{4} + x^{2} y^{2} : x^{2} (x^{2} + y^{2})

Factor out

- 16 y^{2}

from

- 16 x^{2} y^{2} - 16 y^{4} : - 16 y^{2} (x^{2} + y^{2})

= x^{2} (x^{2} + y^{2}) - 16 y^{2} (x^{2} + y^{2})

Factor out common term

x^{2} + y^{2}

= (x^{2} + y^{2}) (x^{2} - 16 y^{2})

Factor

x^{2} - 16 y^{2} : (x + 4 y) (x - 4 y)

= (x^{2} + y^{2}) (x + 4 y) (x - 4 y)

- 18 = 9 - 3 x

2 - x = 11

\frac{3}{4} x > - 1 - (2 x - 3)

- 20 x y + 4 y^{2} + 25 x^{2}

\frac{4}{5} x = 24

What is factor x^4-15x^2y^2-16y^4 ?
The solution to factor x^4-15x^2y^2-16y^4 is (x^2+y^2)(x+4y)(x-4y)